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211033900 = 225271127407
BaseRepresentation
bin11001001010000…
…01111100101100
3112201002122002101
430211001330230
5413011041100
632535104444
75141521120
oct1445017454
9481078071
10211033900
11a9139990
125a812124
133494b63c
1420055580
15137d886a
hexc941f2c

211033900 has 72 divisors (see below), whose sum is σ = 570963456. Its totient is φ = 65774400.

The previous prime is 211033897. The next prime is 211033913. The reversal of 211033900 is 9330112.

211033900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004 + ... + 21403.

It is an arithmetic number, because the mean of its divisors is an integer number (7930048).

Almost surely, 2211033900 is an apocalyptic number.

211033900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211033900 is an abundant number, since it is smaller than the sum of its proper divisors (359929556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211033900 is a wasteful number, since it uses less digits than its factorization.

211033900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27439 (or 27432 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 211033900 is about 14527.0058855912. The cubic root of 211033900 is about 595.3660624324.

The spelling of 211033900 in words is "two hundred eleven million, thirty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 27407 54814 109628 137035 191849 274070 301477 383698 548140 602954 685175 767396 959245 1205908 1370350 1507385 1918490 2110339 2740700 3014770 3836980 4220678 4796225 6029540 7536925 8441356 9592450 10551695 15073850 19184900 21103390 30147700 42206780 52758475 105516950 211033900